Two inches really isn't that much, certainly nothing I'd worry about on ice or snow. That's a minimal difference in tire size, about like going 275/75/16 to a 285/75/16, a small difference (32.2 vs 32.8" tall). With BGF ATs, I would just sell the Coopers anyway, unless you drive on a lot of ice. KO2s are great in the snow.
Pump rub is common, and it will destroy your transfer case if not detected and repaired. It affects 98-07 GM half tons and 01-07 HD trucks. The tabs that hold the pump inside the transfer case wear, which allows the pump itself to rotate and come in contact with the housing. This eventually wears a hole in the top of your transfer case, and fluid is pushed out that hole, but only while driving. They rarely leak enough to drip down the case to leave a spot on the ground. Sometimes there's no indication anything is wrong, but often you will see small oil spots on your tailgate or trailer. I have seen many fail between 60K and 100K miles, although some (like my 01) didn't wear a hole until 300k. While I was being lazy and waiting to repair mine, I would have to add over a quart of fluid every 1000 miles to top it off, and that was a small pinhole. They only hold 2 quarts. The repair is not something I would put off, regardless of miles, the kit is about $75 and only takes a couple hours to install, depending on how thirsty you get during the process.
The front differential and rear axle in those trucks are just this side of indestructible.